Foundations of Algebra:

• What Is a Variable? (Concrete modeling with blocks)
• Representing Expressions Visually
• Combining Like Terms Using Tiles
• Order of Operations (PEMDAS)
• Translating Words to Algebraic Expressions

Solving Equations and Inequalities:

• One-Step Equations with Counters
• Two-Step Equations with Tape Diagrams
• Solving Multi-Step Equations
• Using the Balance Model to Solve Equations
• Solving and Graphing Inequalities on a Number Line

Functions:

• What Is a Function? (Function machines with real-life examples)
• Input-Output Tables to Graph a Function
• Identifying Functions from Graphs
• Domain and Range Explained Simply

Linear Functions:

• What Makes a Line Linear? (Concrete coordinate plotting)
• Slope as Rate of Change (Using rise/run tiles)
• Graphing Lines in Slope-Intercept Form
• Writing Equations of Lines from Graphs or Points
• Parallel and Perpendicular Lines

Systems of Equations:

• Solving Systems by Graphing (Using visuals)
• Solving Systems by Substitution
• Solving Systems by Elimination
• Real-World Systems Word Problems

Exponents and Exponential Functions:

• Exponent Rules with Visual Models
• Exponential Growth and Decay (Tables & graphs)
• Comparing Linear and Exponential Growth

Polynomials:

• Adding and Subtracting Polynomials with Tiles
• Multiplying Polynomials (Area Model & Box Method)
• Factoring Polynomials with Algebra Tiles
• Factoring Trinomials

Quadratic Functions:

• What Is a Quadratic? (Parabola introduction)
• Vertex Form and Standard Form Comparison
• Graphing a Quadratic Step-by-Step
• Solving Quadratics by Factoring
• Solving Quadratics Using the Quadratic Formula
• Completing the Square Conceptually

Data and Statistics:

• Interpreting Scatterplots and Trends
• Line of Best Fit and Linear Models
• Two-Way Tables
• Residuals and Accuracy